Lesson Page

Math A

 

     There are several ways to collect and organize data.  The lesson on measures of central tendency shows an example of using a tally/frequency table.  Other ways to organize and collect data are: 

1. circle graphs
2. broken line graphs
3. frequency histograms
4. cumulative frequency histograms
5. box and whisker plots
6. scatter plots, and 
7. stem and leaf plots.

 Let's look at the first four methods now!

 

1. Circle graph:   A graph representing parts of a whole as sectors ( pie pieces) of a circle.  

The picture on the left could be a circle graph representing the spending of an average middle class family.  For example, the pink pie piece could represent the amount of money spent on groceries, the green section could represent vacations, and the small purple section could represent what is spent for pet food. 

 

 

2Line graph:  A graph of ordered pairs, (x,y), where the points are connected,  in order, by a line segment.


A broken line graph would be discontinuous-- the entire line would not be connected, there would be a space between two or more of the points.

 

 

3.  Frequency
     Histogram: 
 
A bar graph of a set of data. 

*  Remember, if the interval does not start at zero, leave a space before you make the first bar.  Some teachers require a symbol to be inserted to show the interval does not start at zero.

 

How to use your
TI-83+ graphing calculator  with frequency histograms.
Click calculator.

 

 

4.   Cumulative
      Frequency
      Histogram:
This is a connected bar graph that shows the data after it has been added from the smallest interval to the largest interval.  

Example: Start with the smallest interval (75-79)
                         and add.   4 + 6
                                        10 + 3
                                        13 + 2  

15 is the total number of data. 

Math Scores

Frequency

Cumulative

 75 -79

4

4

80 -84

6

10

85 -89

3

13

90 - 95

2

15

 

How to use your
TI-83+ graphing calculator  with cumulative frequency histograms.
Click calculator.

 


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